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Finding the Third Proportional to 146,434 and 198,914

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Solution

The third proportional to 146,434 and 198,914 is: 270,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,434 : 198,914 = 198,914 : x
  2. Step 2: Convert to fraction form
    146,434/198,914 = 198,914/x
  3. Step 3: Cross multiply
    146,434x = 198,914 × 198,914
  4. Step 4: Simplify right side
    146,434x = 39,566,779,396
  5. Step 5: Solve for x
    x = 39,566,779,396/146,434
  6. Step 6: Final answer
    x = 270,202.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.